Answer
$\color{blue}{\bf{( a ) 3 } }$
$\color{blue}{\bf{( b ) -5 } }$
$\color{blue}{\bf{( c ) 2 } }$
$\color{blue}{\bf{( d ) undefined } }$
Work Step by Step
$\bf{(a)}$We are given a graph and asked to find:
$(f+g)( -1 )$
$f( -1 )+g( -1 )$
From the given graph we see that:
$y=f( -1 )= 0 $ and $y=g( -1 )= 3 $
$ 0 + 3 $
$\color{blue}{\bf{ 3 } }$
$\bf{( b )}$We are asked to find:
$( f-g )( -2 )$
$f( -2 )-g( -2 )$
From the given graph we see that:
$y=f( -2 )= -1 $ and $y= g( -2 )= 4 $
$ -1 - 4 $
$\color{blue}{\bf{ -5 } }$
$\bf{( c )}$We are asked to find:
$( fg )( 0 )$
From the given graph we see that:
$y= f( 0 )= 1 $ and $y=g( 0 )= 2 $
$( 1 )( 2 )$
$\color{blue}{\bf{ 2 } }$
$\bf{( d )}$We are asked to find:
$( \dfrac{f}{g} )( 2 )$
From the given graph we see that:
$y=f( 2 ) = 3 $ and $y=g( 2 )= 0 $
$\dfrac{ 3 }{ 0 }$
$\color{blue}{\bf{ undefined }}$
